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In the diagram, the value of $k$ is

Pick one

A $180$ B $210$ C $240$ D $270$ E $300$

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Official solution

One complete rotation equals $360\degree$.

Therefore, $k\degree+90\degree=360\degree$ and so $k=360-90=270$.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.